(5w-2)(8+w)=0

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Solution for (5w-2)(8+w)=0 equation: 


Simplifying
(5w + -2)(8 + w) = 0

Reorder the terms:
(-2 + 5w)(8 + w) = 0

Multiply (-2 + 5w) * (8 + w)
(-2(8 + w) + 5w * (8 + w)) = 0
((8 * -2 + w * -2) + 5w * (8 + w)) = 0
((-16 + -2w) + 5w * (8 + w)) = 0
(-16 + -2w + (8 * 5w + w * 5w)) = 0
(-16 + -2w + (40w + 5w2)) = 0

Combine like terms: -2w + 40w = 38w
(-16 + 38w + 5w2) = 0

Solving
-16 + 38w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-8 + -1w)(2 + -5w) = 0


Subproblem 1
Set the factor '(-8 + -1w)' equal to zero and attempt to solve:

Simplifying
-8 + -1w = 0

Solving
-8 + -1w = 0

Move all terms containing w to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1w = 0 + 8
-1w = 0 + 8

Combine like terms: 0 + 8 = 8
-1w = 8

Divide each side by '-1'.
w = -8

Simplifying
w = -8

Subproblem 2
Set the factor '(2 + -5w)' equal to zero and attempt to solve:

Simplifying
2 + -5w = 0

Solving
2 + -5w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -5w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5w = 0 + -2
-5w = 0 + -2

Combine like terms: 0 + -2 = -2
-5w = -2

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4
Solution
w = {-8, 0.4}

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